Reduction of cocycles and groups of diffeomorphisms of the circle

Details Reduction of cocycles and groups of diffeomorphisms of the circle Reduction of cocycles and groups of diffeomorphisms of the circle

2005-08-31

arxiv.org/abs/math/0508640v2

Bull. Belgium Math. Society Simon Stevin 2006

Mathematics

Representation Theory

Scientific paper

We prove two theorems of reduction of cocycles taking values in the group of
diffeomorphisms of the circle. They generalise previous results obtained by the
author concerning rigidity for smooth actions on the circle of Kazhdan's groups
and higher rank lattices.

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